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Finding the Fourth Proportional to 422,657.88, 582,799.50 and 269,453.40

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Solution

The fourth proportional to 422,657.88, 582,799.50 and 269,453.40 is: 371,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,657.88 : 582,799.50 = 269,453.40 : x
  2. Step 2: Convert to fraction form
    422,657.88/582,799.50 = 269,453.40/x
  3. Step 3: Cross multiply
    422,657.88x = 582,799.50 × 269,453.40
  4. Step 4: Simplify right side
    422,657.88x = 157,037,306,793.30
  5. Step 5: Solve for x
    x = 157,037,306,793.30/422,657.88
  6. Step 6: Final answer
    x = 371,547.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.